Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places. sample mean =

sample standard deviation =

b)Find the proportion of heights that are within 1 standard deviation of the sample mean and also the proportion that are within 2 standard deviations of the sample mean. Use the unrounded values for the mean and standard deviation when doing this calculation. Give your answers as decimals to 2 decimal places.

Proportion of heights within 1 standard deviation of the mean =

Proportion of heights within 2 standard deviations of the mean =

c)Select the appropriate description for the data:

the data are APPROXIMATELY normal
the data are CLEARLY not normal
d)Calculate the standardized value for the value 67. Note that, for a value x within a sample that is approximately distributed as N(x, s), a standardized value can be calculated as z = (x - x) / s

standardized value (to 2 decimal places) for the value 67 =

e)Calculate the probability that a standard normal random variable Z takes a values less than the standardized value calculated in part d). Give your answer as a decimal to 4 decimal places.

Probability Z less than standardized value =

f)Find the proportion of values in the sample that are less than or equal to 67. Give you answer as a decimal to 2 decimal places.

Proportion of values less than or equal to 67 =